Algebra i logika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Algebra Logika:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Algebra i logika, 2016, Volume 55, Number 2, Pages 219–256
DOI: https://doi.org/10.17377/alglog.2016.55.204
(Mi al738)
 

This article is cited in 6 scientific papers (total in 6 papers)

Equational conditions in universal algebraic geometry

P. Modabberi, M. Shahryari

Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Full-text PDF (273 kB) Citations (6)
References:
Abstract: Different types of compactness in the Zariski topology are explored: for instance, being equational Noetherian, being equational Artinian, $q_\omega$- and $u_\omega$-compactness. Moreover, general results on the Zariski topology over algebras and groups are proved.
Keywords: algebraic structures, equations, algebraic sets, radical ideal, coordinate algebra, Zariski topology, equationally Noetherian algebras, $q_\omega$-compactness, $u_\omega$-compactness, metacompact algebras, metacompact spaces, equationally Artinian algebras, prevarieties, varieties, free algebras, equational domains, Hilbert's basis theorem.
Received: 31.01.2014
Revised: 03.10.2015
English version:
Algebra and Logic, 2016, Volume 55, Issue 2, Pages 146–172
DOI: https://doi.org/10.1007/s10469-016-9384-7
Bibliographic databases:
Document Type: Article
UDC: 512.54.0+512.57
Language: Russian
Citation: P. Modabberi, M. Shahryari, “Equational conditions in universal algebraic geometry”, Algebra Logika, 55:2 (2016), 219–256; Algebra and Logic, 55:2 (2016), 146–172
Citation in format AMSBIB
\Bibitem{ModSha16}
\by P.~Modabberi, M.~Shahryari
\paper Equational conditions in universal algebraic geometry
\jour Algebra Logika
\yr 2016
\vol 55
\issue 2
\pages 219--256
\mathnet{http://mi.mathnet.ru/al738}
\crossref{https://doi.org/10.17377/alglog.2016.55.204}
\transl
\jour Algebra and Logic
\yr 2016
\vol 55
\issue 2
\pages 146--172
\crossref{https://doi.org/10.1007/s10469-016-9384-7}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000382002800004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84982141363}
Linking options:
  • https://www.mathnet.ru/eng/al738
  • https://www.mathnet.ru/eng/al/v55/i2/p219
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:228
    Full-text PDF :40
    References:44
    First page:12
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024